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APS

Holon Pair Bose Condensation based on the U(1) and SU(2) Slave-Boson Approach to the t-J Hamiltonian; Doping and Temperature Dependences of superfluid Density

Sung-Sik Lee, Sung‐Ho Suck Salk

Published Mar 1, 2000• 0 citations
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Sung-Sik Lee, Sung‐Ho Suck Salk

We investigate a possibility of holon pairing for bose condensation based on the Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex function contributed from ladder diagram series involving holon-holon scattering channel in the Bethe-Salpeter equation leads to a singular behavior at a critical temperature at each hole doping concentration, showing the instability of the normal state against holon pairing. We find that the holon pairing instability occurs only in a limited range of hole doping, by showing an "arch" shaped bose condensation line in agreement with observation for high $T_c$ cuprates. It is revealed that this is in agreement with a functional integral approach of the slave-boson theories.

arXiv:cond-mat/0001218•Jan 16, 2000•0 citations

Holon pairing instability based on the Bethe-Salpeter equation obtained from the t−J Hamiltonians of both U(1) and SU(2) slave-boson symmetries

Sung-Sik Lee, Sung‐Ho Suck Salk

A Bethe-Salpeter equation is obtained by using of the $t\ensuremath{-}J$ Hamiltonians that satisfy the U(1) and the SU(2) slave-boson symmetries, respectively. Holon-holon scattering channels in the Bethe-Salpeter equation are judiciously examined at a critical temperature to study the instability of the normal state against holon pairing. From the present study of the holon pairing instability, an arch-shaped bose condensation line is revealed in agreement with the observation for high-${T}_{c}$ cuprates over a range of hole doping concentration.

Physical review. B, Condensed matter•Aug 20, 2002•8 citations
We investigate a possibility of holon pairing for bose condensation based on the Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex function contributed from ladder diagram series involving holon-holon scattering channel in the Bethe-Salpeter equation leads to a singular behavior at a critical temperature at each hole doping concentration, showing the instability of the normal state against holon pairing. We find that the holon pairing instability occurs only in a limited range of hole doping, by showing an "arch" shaped bose condensation line in agreement with observation for high TcT_cTc​ cuprates. It is revealed that this is in agreement with a functional integral approach of the slave-boson theories.
A Bethe-Salpeter equation is obtained by using of the $t\ensuremath{-}J$ Hamiltonians that satisfy the U(1) and the SU(2) slave-boson symmetries, respectively. Holon-holon scattering channels in the Bethe-Salpeter equation are judiciously examined at a critical temperature to study the instability of the normal state against holon pairing. From the present study of the holon pairing instability, an arch-shaped bose condensation line is revealed in agreement with the observation for high-Tc{T}_{c}Tc​ cuprates over a range of hole doping concentration.